we have the system of equations
6x − 5y = -4 ------> equation 1
4x + 2y = 28 -----> equation 2
To remove the variable y
Multiply the equation 1 by 2 and multiply the equation 2 by 5
then
adds both equations to remove the variable y
so
2[6x − 5y = -4] ----------> 12x-10y=-8
5[4x + 2y = 28 ] --------> 20x+10y=140
adds both equations
12x-10y=-8
20x+10y=140
______________
32x=132
x=132/32
x=4.125
substitute the value of x in any equation to calculate the value of y